Answer:
The input is x = 12.
Step-by-step explanation:
We are given the following function:
[tex]y(x) = \frac{25x}{6} - 34[/tex]
We have to find the input(x) if the output y is 16. So
[tex]16 = \frac{25x}{6} - 34[/tex]
[tex]\frac{25x}{6} = 16 + 34[/tex]
[tex]\frac{25x}{6} = 50[/tex]
[tex]25x = 6*50[/tex]
Simplifying both sides by 25
[tex]x = 6*2 = 12[/tex]
The input is x = 12.
